4231295040 has 336 divisors, whose sum is σ = 15732142272. Its totient is φ = 960712704.

The previous prime is 4231295023. The next prime is 4231295051. The reversal of 4231295040 is 405921324.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4231294989 and 4231295007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13782567 + ... + 13782873.

It is an arithmetic number, because the mean of its divisors is an integer number (46821852).

Almost surely, 2^4231295040 is an apocalyptic number.

4231295040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4231295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7866071136).

4231295040 is an abundant number, since it is smaller than the sum of its proper divisors (11500847232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4231295040 is a wasteful number, since it uses less digits than its factorization.

4231295040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 4231295040 is about 65048.4053609310. The cubic root of 4231295040 is about 1617.4260604012.

The spelling of 4231295040 in words is "four billion, two hundred thirty-one million, two hundred ninety-five thousand, forty".